Question

It is estimated that Death Rate = (number of deaths / number of cases) =

probability of dying if infected by the corona virus COVID-19 is 14:8% for 80+ years old. Let X equal the number of death persons from this age group infected by the corona virus in a sample of n = 15: How is X distributed? Write down all probabilities from this distribution.

Answer 1

Probability of dying if infected by the corona virus COVID-19 is 14.8% = 0.148

Since the Probability of dying if infected by the corona virus is constant and independent, X will follow Binomial distribution with parameters n = 15 and p = 0.148.

The probability distribution of X is,

P(X = x) = ¹⁵C_x * 0.148^x * (1 - 0.148)^15-x = ¹⁵C_x * 0.148^x * 0.852^15-x

Using the probability distribution , we calculated below probabilities.

x	P(X = x)
0	0.09048861
1	0.2357802
2	0.2866998
3	0.2158101
4	0.1124644
5	0.04297935
6	0.01244316
7	0.002779056
8	0.0004827468
9	0.000065222
10	0.0000067978
11	0.00000053675
12	3.107927 x 10-8
13	1.245864 x 10-9
14	3.091682 x 10-11
15	3.580352 x 10-13